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Families of 6-cycles of third order

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Publication:6616673
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DOI10.1007/978-3-031-51049-6_1MaRDI QIDQ6616673

Antonio Linero-Bas, Daniel Nieves-Roldán

Publication date: 9 October 2024





zbMATH Keywords

monotonicityequilibrium pointsfunctional equationshomeomorphism\(p\)-cycle


Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23)


Cites Work

  • Unnamed Item
  • Global linearization of periodic difference equations
  • A characterization of \(k\)-cycles
  • A self-invertibility condition for global periodicity of difference equations
  • Periodic maps on R7 without fixed points
  • GENERAL CYCLES OF POTENTIAL FORM
  • Existence and uniqueness ofp-cycles of second and third order
  • On Globally Periodic Solutions of the Difference Equation x n + 1 = f ( x n )/ x n − 1
  • On Periodic Rational Difference Equations of Orderk
  • On the global periodicity of some difference equations of third order
  • Global periodicity and complete integrability of discrete dynamical systems
  • Frieze patterns
  • Some periodic and non-periodic recursions
  • On periodic cycles of the Lyness equations
  • On the existence of 6-cycles for some families of difference equations of third order







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